I am doing a time to event analysis in R. My problem is as follows:
A customer signs a contract at a company for one year and is able to cancel the contract at any time he wants. I am interested in the probability that a customer cancels the contract by himself (so before the automatic cancellation after one year.)
The definition of the 'event' in this case is the cancellation due the client himself. I know that after 365 days (366 for a leap year) the observation is censored. This means that the requirement of noninformative censoring is not met (right?). How can I account for censoring with a fixed end-time in a Cox model?
J.P. Klein and M.L. Moescherger call this type of censoring progressive Type I Censoring in their book Survival Analysis: Techniques for Censored and Truncated Data, however Google provides mostly information about progressive type II (not I) censoring.